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arXiv 2210.07255quant-phcond-mat.stat-mech
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挤压驱动Kerr振荡器中的谱亲吻现象及其动力学后果

Spectral kissing and its dynamical consequences in the squeeze-driven Kerr oscillator

Jorge Chávez-Carlos, Talía L. M. Lezama, Rodrigo G. Cortiñas, Jayameenakshi Venkatraman, Michel H. Devoret, Victor S. Batista, Francisco Pérez-Bernal, Lea F. Santos

备注：
18 pages, 7 figures
发表信息：
npj Quantum Information volume 9, Article number: 76 (2023)
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AI总结：

本文研究挤压驱动Kerr振荡器中的谱亲吻现象，证明其实验观测到的能级对合并是激发态量子相变的前兆，并揭示了其动力学后果，为超导电路平台模拟ESQPT提供了依据。

摘要：

Transmon量子比特因其可控性和工程实现的便利性，是当前量子计算机等基于电路的量子信息处理中的主要元件。但Transmon不仅是量子比特，还是多能级非线性振荡器，可用于研究基础物理问题。本文将其作为激发态量子相变（ESQPT）的模拟器进行探索，ESQPT是量子相变向激发态的推广。我们证明，在驱动SNAIL-transmon的有效哈密顿量中实验观测到的谱亲吻（能级对的合并）是ESQPT的前兆。我们探索了ESQPT的动力学后果，包括out-of-time-ordered correlators的指数增长及其后的周期性复苏，以及由于局域化导致的生存概率的缓慢演化。这些ESQPT特征在当前超导电路平台的可达范围内，并对冷原子和离子阱实验具有重要价值。

英文摘要：

Transmon qubits are the predominant element in circuit-based quantum information processing, such as existing quantum computers, due to their controllability and ease of engineering implementation. But more than qubits, transmons are multilevel nonlinear oscillators that can be used to investigate fundamental physics questions. Here, they are explored as simulators of excited state quantum phase transitions (ESQPTs), which are generalizations of quantum phase transitions to excited states. We show that the spectral kissing (coalescence of pairs of energy levels) experimentally observed in the effective Hamiltonian of a driven SNAIL-transmon is an ESQPT precursor. We explore the dynamical consequences of the ESQPT, which include the exponential growth of out-of-time-ordered correlators, followed by periodic revivals, and the slow evolution of the survival probability due to localization. These signatures of ESQPT are within reach for current superconducting circuits platforms and are of interest to experiments with cold atoms and ion traps.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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